
[Part 1]
... The first section of "Pythagorean Triangles" is primarily a portion of the history of Pythagorean triangles and related problems. However, some new results and some new proofs of old results are presented in this section. For example, Fermat's Theorem is used to prove: Levy's Theorem, If (x,y,z) is ...
... The first section of "Pythagorean Triangles" is primarily a portion of the history of Pythagorean triangles and related problems. However, some new results and some new proofs of old results are presented in this section. For example, Fermat's Theorem is used to prove: Levy's Theorem, If (x,y,z) is ...
Pascal`s Triangle and Fractals! - Washington University Math Circle
... Pascal’s triangle is a famous mathematical structure because of its beauty and usefulness. Pascal’s triangle is named after the French mathematical prodigy Blaise Pascal (1623-1662). In addition to work in theoretical mathematics, Pascal worked in physics and philosophy, was a writer, and was one of ...
... Pascal’s triangle is a famous mathematical structure because of its beauty and usefulness. Pascal’s triangle is named after the French mathematical prodigy Blaise Pascal (1623-1662). In addition to work in theoretical mathematics, Pascal worked in physics and philosophy, was a writer, and was one of ...
The mystery of the number 1089 – how
... Ehrhard Behrends ist Professor im Ruhestand. Bis 2014 hat er an der Freien Universität Berlin gearbeitet. Seine Spezialgebiete sind Funktionalanalysis und Wahrscheinlichkeitstheorie. Seit Jahren ist er auch in der Popularisierung der Mathematik aktiv. Mehrfach hat er Arbeiten zum mathematischen Hin ...
... Ehrhard Behrends ist Professor im Ruhestand. Bis 2014 hat er an der Freien Universität Berlin gearbeitet. Seine Spezialgebiete sind Funktionalanalysis und Wahrscheinlichkeitstheorie. Seit Jahren ist er auch in der Popularisierung der Mathematik aktiv. Mehrfach hat er Arbeiten zum mathematischen Hin ...
HW 2 Solutions
... If an integer 2 is a perfect square, then the first digit of 2 is one of the following digits: b. Prove that the completed conjecture is true. Hint: If 3 is the first digit of an integer , where 0 ≤ 3 ≤ 9, then = 10 + 3, for some integer . What does this say about the square of ? c. Prove that ...
... If an integer 2 is a perfect square, then the first digit of 2 is one of the following digits: b. Prove that the completed conjecture is true. Hint: If 3 is the first digit of an integer , where 0 ≤ 3 ≤ 9, then = 10 + 3, for some integer . What does this say about the square of ? c. Prove that ...
Utopia Divided
... You are given 2N distinct code numbers and a sequence of N region numbers indicating where the teleporter is to land. Construct a sequence of code pairs from the given numbers that guide the teleporter to go through the given region sequence. ...
... You are given 2N distinct code numbers and a sequence of N region numbers indicating where the teleporter is to land. Construct a sequence of code pairs from the given numbers that guide the teleporter to go through the given region sequence. ...
Subset Construction Subtleties
... In case when α is the left limit, consider Else consider M k , j ...
... In case when α is the left limit, consider Else consider M k , j ...
8th Grade Math SCOS
... For instance, if you square 2, you get 4, and if you "take the square root of 4", you get 2; if you square 3, you get 9, and if you "take the square root of 9", you get 3: ...
... For instance, if you square 2, you get 4, and if you "take the square root of 4", you get 2; if you square 3, you get 9, and if you "take the square root of 9", you get 3: ...